| 奇摄动问题的多过渡点数值解法 |
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| 引用本文： | 蔡新.奇摄动问题的多过渡点数值解法[J].集美大学学报(自然科学版),2005,10(1):83-91. |
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| 作者姓名： | 蔡新 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021 |
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| 基金项目： | 福建省自然科学基金资助项目 (A04100021)，集美大学科研基金资助项目 (F03040). |
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| 摘 要： | 讨论奇摄动混合边值问题，介绍了多过渡点的选择策略，依照多过渡点的选择而构造了不等距网格差分格式，并证明新的差分格式为一阶一致收敛，提高了Shishkin网格法(单过渡点法)的收敛阶．
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| 关 键 词： | 奇摄动 混合边值 一致收敛 多过渡点 不等距网格 |
| 文章编号： | 1007-7405(2005)01-0083-09 |
| 修稿时间： | 2004年1月8日 |
Numerical Method with Multi-transition Points for Singularly Perturbed Problem |
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| CAI Xin.Numerical Method with Multi-transition Points for Singularly Perturbed Problem[J].the Editorial Board of Jimei University(Natural Science),2005,10(1):83-91. |
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| Authors: | CAI Xin |
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| Abstract: | Perturbed problem with mixed boundary conditions was discussed singularly, selection strategy of multi-transition points was introduced and thus non-uniform scheme was constructed. The new method was proved to be one order uniformly convergent with respected to the perturbed parameter,which was higher than Shishkin scheme. |
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| Keywords: | singularly perturbed mixed boundary uniform convergence multi-transition points non-uniform scheme |
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